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Finding the Fourth Proportional to 278,485.42, 417,744.24 and 78,789.08

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Solution

The fourth proportional to 278,485.42, 417,744.24 and 78,789.08 is: 118,188.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,485.42 : 417,744.24 = 78,789.08 : x
  2. Step 2: Convert to fraction form
    278,485.42/417,744.24 = 78,789.08/x
  3. Step 3: Cross multiply
    278,485.42x = 417,744.24 × 78,789.08
  4. Step 4: Simplify right side
    278,485.42x = 32,913,684,344.90
  5. Step 5: Solve for x
    x = 32,913,684,344.90/278,485.42
  6. Step 6: Final answer
    x = 118,188.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.